Now showing items 51-60 of 95
Truncated-exponential-based Frobenius–Euler polynomials
In this paper, we first introduce a new family of polynomials, which are called the truncated-exponential based Frobenius–Euler polynomials, based upon an exponential generating function. By making use of this exponential ...
Approximation degree of Durrmeyer-Bezier type operators
(SPRINGER INTERNATIONAL PUBLISHING A, 2018-02-22)
Recently, a mixed hybrid operator, generalizing the well-known Phillips operators and Baskakov-Szasz type operators, was introduced. In this paper, we study Bezier variant of these new operators. We investigate the degree ...
Higher-Order Convolutions for Apostol-Bernoulli, Apostol-Euler and Apostol-Genocchi Polynomials
In this paper, we present a systematic and unified investigation for the Apostol-Bernoulli polynomials, the Apostol-Euler polynomials and the Apostol-Genocchi polynomials. By applying the generating-function methods and ...
Construction of Fourier expansion of Apostol Frobenius-Euler polynomials and its applications
In the present paper, we find the Fourier expansion of the Apostol Frobenius-Euler polynomials. By using a Fourier expansion of the Apostol Frobenius-Euler polynomials, we derive some new and interesting results.
A General Class of the Three-Variable Unified Apostol-Type q-Polynomials and Multiple Power q-Sums
(Springer International Publishing, 2019)
The main purpose of this article is to introduce a general class of the three-variable unified Apostol-type q-polynomials and to investigate their properties and characteristics. In particular, the generating function, ...
Common fixed point theorems for generalized G − η − χ− contractive type mappings with applications
(Boletim da Sociedade Paranaense de Matematica, 2019)
Samet et. al. (Nonlinear Anal. 75, 2012, 2154-2165) introduced the concept of α − ψ− contractive type mappings in metric spaces. In 2013, Alghamdi et. al. introduced the concept of G−β−ψ−contractive type mappings in ...
Blending type approximation by Stancu-Kantorovich operators based on Polya-Eggenberger distribution
(DE GRUYTER OPEN LTD, 2017)
In the paper the authors introduce the Kantorovich variant of Stancu operators based on Polya-Eggenberger distribution. By making use of this new operator, we obtain some indispensable auxiliary results. We also deal with ...
Certain Results of q-Sheffer-Appell Polynomials
In this paper, the class of q-Sheffer-Appell polynomials is introduced. The generating function, series definition, determinant definition and some other identities of this class are established. Certain members of ...
Some (p, q)-analogues of Apostol type numbers and polynomials
(UNIV TARTU PRESS, 2019-06)
We consider a new class of generating functions of the generalizations of Bernoulli and Euler polynomials in terms of (p, q)-integers. By making use of these generating functions, we derive (p, q)-generalizations of several ...
A new approach to Legendre-truncated-exponential-based Sheffer sequences via Riordan arrays
(Elsevier Inc., 2020-03-15)
The significance of multi-variable special polynomials has been identified both in mathematical and applied frameworks. The article aims to focus on a new class of 3-variable Legendre-truncated-exponential-based Sheffer ...